Determining the Parameters of a Multinomial Distribution: The Fiducial Approach

Heike Hans-Dieter, Târcolea Constantin, Matei Demetrescu and Tarcolea Adina-Ioana
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Heike Hans-Dieter: Fachgebiet für Statistik und Ökonometrie, Technische Universität Darmstadt, D-64283 Darmstadt, Germany
Târcolea Constantin: Departamentul de Matematici, Universitatea “Politehnica” Bucuresti, Romania
Tarcolea Adina-Ioana: Institut für Statistik und Methoden der Ökonometrie, Goethe-Universität Frankfurt, Gräfstr. 78, D-60054 Frankfurt/Main, Germany

Stochastics and Quality Control, 2005, vol. 20, issue 2, 177-189

Abstract: A procedure is derived for determining the values of the parameters of a multinomial distribution by means of the fiducial approach proposed by Fisher. By decomposing the involved probability (mass or density) functions, it is shown that the resulting fiducial distributions belong to the Dirichlet family.

Keywords: Fiducial approach; multinomial distribution; Dirichlet distribution (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:ecqcon:v:20:y:2005:i:2:p:177-189:n:3

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DOI: 10.1515/EQC.2005.177

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